Maths Olympiad Sample Paper (Practice)

Maths Olympiad topic 20: Maths Olympiad mock test · Set 423 · 40 questions

How to solve it (Spot the topic first): Read the question and name the topic: HCF/LCM, fractions, calendar, ratio, percentage, interest, average, equation or number theory. Use that lesson’s method; write small working on rough paper. Look at the options: rule out answers that are too big, too small or the wrong kind. Check your answer by working backwards when you can.

1. 1.What is the units digit of 4^30? (a) 6 (b) 5 (c) 4 (d) 7
2. 2.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
3. 3.₹7500 is invested at 7% per year simple interest. What is the amount after 2 years? (a) ₹8550 (b) ₹9075 (c) ₹1050 (d) ₹8025
4. 4.If 6 July is a Wednesday, what day of the week is 15 July? (a) Sunday (b) Saturday (c) Friday (d) Thursday
5. 5.The average of 6 numbers is 48. When one number is taken away, the average of the rest is 45. Which number was taken away? (a) 18 (b) 63 (c) 93 (d) 48
6. 6.4.93 + 1.3 = ? (a) 6.23 (b) 6.13 (c) 5.06 (d) 6.33
7. 7.Which is the smallest: 0.513, 0.66, 0.099, 0.6? (a) 0.513 (b) 0.66 (c) 0.099 (d) 0.6
8. 8.What is the simple interest on ₹1000 at 6% per year for 3 years? (a) ₹240 (b) ₹60 (c) ₹180 (d) ₹1180
9. 9.8.32 + 4.7 = ? (a) 8.79 (b) 13.02 (c) 13.12 (d) 12.92
10. 10.Every pair follows the same rule: 2 : 6, 3 : 11, 7 : 31. What is 6 : ? (a) 27 (b) 18 (c) 26 (d) 10
11. 11.What is the units digit of 3^48? (a) 3 (b) 9 (c) 7 (d) 1
12. 12.If 22 March is a Monday, what day of the week is 15 April? (a) Wednesday (b) Thursday (c) Saturday (d) Friday
13. 13.Two bells ring every 4 minutes and every 6 minutes. They ring together at 9:00. After how many minutes will they next ring together? (a) 24 min (b) 2 min (c) 10 min (d) 12 min
14. 14.What is the simple interest on ₹2500 at 12% per year for 4 years? (a) ₹3700 (b) ₹300 (c) ₹1200 (d) ₹1500
15. 15.Which is the greatest: 0.6, 0.511, 0.033, 0.61? (a) 0.6 (b) 0.511 (c) 0.033 (d) 0.61
16. 16.₹56 is shared between two friends in the ratio 1 : 6. How much is the bigger share? (a) ₹28 (b) ₹8 (c) ₹56 (d) ₹48
17. 17.What is the average of all the whole numbers from 40 to 64? (a) 24 (b) 53 (c) 52 (d) 12
18. 18.Which of these numbers is divisible by 4? (a) 2665 (b) 2675 (c) 2671 (d) 2668
19. 19.1/3 + 4/8 = ? (a) 5/6 (b) 5/11 (c) 19/24 (d) 7/8
20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹552. What is his profit percent? (a) 10% (b) 72% (c) 20% (d) 15%
21. 21.What is the value of the digit 3 in 38.276? (a) 0.3 (b) 3 (c) 0.03 (d) 30
22. 22.₹8000 is invested at 3% per year simple interest. What is the amount after 4 years? (a) ₹8240 (b) ₹960 (c) ₹8960 (d) ₹9200
23. 23.A rectangle is 7 cm long and 2 cm wide. What is its area? (a) 14 sq cm (b) 9 sq cm (c) 18 sq cm (d) 21 sq cm
24. 24.What is the value of the digit 4 in 46.215? (a) 0.4 (b) 40 (c) 0.04 (d) 4
25. 25.₹230 is shared between two friends in the ratio 2 : 3. How much is the bigger share? (a) ₹115 (b) ₹46 (c) ₹138 (d) ₹92
26. 26.₹9500 is invested at 3% per year simple interest. What is the amount after 2 years? (a) ₹10070 (b) ₹9785 (c) ₹10355 (d) ₹570
27. 27.What is the average of all the whole numbers from 13 to 29? (a) 22 (b) 8 (c) 16 (d) 21
28. 28.Today is Friday. What day of the week will it be after 82 days? (a) Wednesday (b) Friday (c) Tuesday (d) Thursday
29. 29.What is the smallest number of sweets that can be shared equally among 4 children or among 14 children, with none left over? (a) 56 (b) 18 (c) 28 (d) 29
30. 30.Which fraction is greater: 1/3 or 8/11? (a) 8/11 (b) They are equal (c) 1/3
31. 31.A rectangle is 6 cm long and 5 cm wide. What is its area? (a) 36 sq cm (b) 22 sq cm (c) 30 sq cm (d) 11 sq cm
32. 32.If 8x − 42 = 78, what is x? (a) 16 (b) 120 (c) 15 (d) 14
33. 33.What is 1/5 of 20? (a) 16 (b) 8 (c) 5 (d) 4
34. 34.₹3500 is invested at 10% per year simple interest. What is the amount after 3 years? (a) ₹4900 (b) ₹1050 (c) ₹3850 (d) ₹4550
35. 35.₹3000 is invested at 7% per year simple interest. What is the amount after 3 years? (a) ₹3630 (b) ₹630 (c) ₹3840 (d) ₹3210
36. 36.1/3 + 1/4 = ? (a) 2/7 (b) 7/12 (c) 1/2 (d) 2/3
37. 37.If 19 November is a Sunday, what day of the week is 15 December? (a) Thursday (b) Friday (c) Sunday (d) Saturday
38. 38.If 11 March is a Tuesday, what day of the week is 9 April? (a) Friday (b) Thursday (c) Wednesday (d) Tuesday
39. 39.Which fraction is greater: 1/8 or 4/7? (a) 1/8 (b) 4/7 (c) They are equal
40. 40.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%

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